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xxMikexx [17]
2 years ago
14

A television game has 6 shows doors, of which the contests must pick 2. behind two of the doors are expensive cars, and behind t

he other 4 doors are consolation prizes. Find the probability that the contestant wins exactly 1 car? no car? or atleast one car?
Mathematics
1 answer:
kicyunya [14]2 years ago
3 0
In this question, there are 4 consolation door and 2 car doors of total 6 doors. That means for the first door the chance to get consolation is 4/6 and car is 2/6. In second door, only 5 remains so the chance to get consolation is either 4/5 (if 1st door car) or 3/5(if 1st door consolation)

Win 1 car condition: 
1. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
2. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
8/30+8/30= 16/30

No car condition
1. 1st door consolation, 2nd door consolation= 4/6 * 3/5= 12/30

At least one car condition
1. 1st door car, 2nd door car = 2/6 * 1/5 =2/30
2. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
3. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
2/30 + 8/30 + 8/30= 18/30
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3 years ago
Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?
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Answer:

5\sqrt{2} units.

Step-by-step explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

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\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2

Substituting our given values in above equation we will get,

\text{Hypotenuse}^2=5^2+5^2

\text{Hypotenuse}^2=25+25

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Upon taking square root of both sides of our equation we will get,

\text{Hypotenuse}=\sqrt{50}

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\text{Hypotenuse}=5\sqrt{2}

Therefore, the length of hypotenuse of triangle ABC is 5\sqrt{2} units.

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Step-by-step explanation:

we know that

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Step-by-step explanation:

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